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kompoz [17]
3 years ago
13

Question= graph y=4x-9

Mathematics
1 answer:
dsp733 years ago
5 0
The first point would go on (-9,0) and the 4x is basically you would go up 4 and over 1 so the next point would be (-8,4)
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A quadratic function is defined by
ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0
3 years ago
Given a sample size n, how will the distribution of the sample mean behave?
Keith_Richards [23]
Answer:
Provided that the sample size, n, is sufficiently large (greater than 30), the distribution of sample means selected from a population will have a normal distribution, according to the Central Limit Theorem.

Explanation:
1. As n increases, the sample mean approaches the population mean
   (The Law of Large numbers)
2. The standard error of the sample is
     σ/√n
     where σ = population standard deviation.
     As n increases, the standard error decreases, which means that the error    
     between the sample and population means decreases.

5 0
3 years ago
Express the function graphed on the axes below as a piecewise function.
dangina [55]

Answer:

y = 2/3x +6  for x< -3

y = 2/3x +1     for x> 3

Step-by-step explanation:

The graph is a line for  x < -3

( - 6,2) and ( -3,4)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point ( -6,2)

y -2 = 2/3(x - -6)

y -2 = 2/3(x +6)

y-2 = 2/3 x +4

y = 2/3x +6 x< -3

The graph is a line for  x > 3

(3,3) and ( 6,5)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 5-3)/(6-3) = 2/ (3) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point (6,5)

y -5 = 2/3(x - 6)

y-5 = 2/3 x -4

y = 2/3x +1   x> 3

8 0
3 years ago
Can someone please explain how to solve such a mean and sneaky problem? Please?
Lelu [443]

Answer:

all real numbers

Step-by-step explanation:

simplify each side of the inequality

26 + 6b -- already fully simplified

2(3b + 4) → 6b + 8

26 + 6b ≥ 6b + 8

subtract 6b from both sides

26 ≥ 8

since this expression is true (26 is greater than 8), then the solution is all real numbers. any value could take the place of b because in the end, it will be canceled out by itself, resulting in 26 ≥ 8

4 0
3 years ago
The difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.
baherus [9]

Answer:

-4 and 4

Step-by-step explanation:

Have a good day.

5 0
2 years ago
Read 2 more answers
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